%0 Journal Article %A Lv Yuhua %D 2013 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 77, 2013 %T Positive Solutions of Initial Value Problem for the Systems of Second Order Integro-Differential Equations in Banach Space %U https://publications.waset.org/pdf/17086 %V 77 %X In this paper, by establishing a new comparison result, we investigate the existence of positive solutions for initial value problems of nonlinear systems of second order integro-differential equations in Banach space.We improve and generalize some results (see[5,6]), and the results is new even in finite dimensional spaces. %P 901 - 904